Paper: arXiv 2505.01543

Authors: Masoud Ataei

Abstract

This study evaluates the scale-dependent informational efficiency of stock markets using the Financial Chaos Index, a tensor-eigenvalue-based measure of realized volatility. Incorporating Granger causality and network-theoretic analysis across a range of economic, policy, and news-based uncertainty indices, we assess whether public information is efficiently incorporated into asset price fluctuations. Based on a 34-year time period from 1990 to 2023, at the daily frequency, the semi-strong form of the Efficient Market Hypothesis is rejected at the 1% level of significance, indicating that asset price changes respond predictably to lagged news-based uncertainty. In contrast, at the monthly frequency, such predictive structure largely vanishes, supporting informational efficiency at coarser temporal resolutions. A structural analysis of the Granger causality network reveals that fiscal and monetary policy uncertainties act as core initiators of systemic volatility, while peripheral indices, such as those related to healthcare and consumer prices, serve as latent bridges that become activated under crisis conditions. These findings underscore the role of time-scale decomposition and structural asymmetries in diagnosing market inefficiencies and mapping the propagation of macro-financial uncertainty.

Complexity vs Empirical Score

  • Math Complexity: 9.0/10
  • Empirical Rigor: 7.0/10
  • Quadrant: Holy Grail — high math complexity, high empirical rigor

Why this score: The paper employs advanced multilinear algebra (tensor CP decomposition, eigenvalue theory) and rigorous Granger causality networks, fitting high math complexity, while backing it with 34 years of daily data (CRSP/WRDS), statistical significance (1% level), and structural network analysis, requiring substantial empirical implementation.

Research Flowchart

  flowchart TD
  A["Research Goal:<br>Test Scale-Dependent Market Efficiency<br>using News Uncertainty & Financial Chaos"] --> B
  subgraph B ["Data & Inputs"]
      B1["Daily & Monthly Data<br>1990-2023"]
      B2["Financial Chaos Index<br>Tensor-Eigenvalue Volatility"]
      B3["Uncertainty Indices<br>Economic, Policy, News"]
  end
  B --> C
  subgraph C ["Methodology"]
      C1["Granger Causality Tests"]
      C2["Network-Theoretic Analysis"]
  end
  C --> D
  subgraph D ["Key Findings"]
      D1["Daily: Market Inefficiency<br>Semi-strong EMH rejected"]
      D2["Monthly: Market Efficiency<br>Predictive structure vanishes"]
      D3["Network Structure:<br>Policy indices = Systemic triggers"]
  end

Cited References (235)

  1. Competitiveness of Dynamic Bin Packing for Online Cloud Server Allocation (2017)
  2. Multi-Capacity Combinatorial Ordering GA in Application to Cloud resources allocation and efficient virtual machines consolidation (2017)
  3. A Resource Provision Strategy for Software-as-a-Service in Cloud Computing (2017)
  4. Cloud Resource Management for Analyzing Big Real-Time Visual Data from Network Cameras (2017)
  5. On Joint BBU/RRH Resource Allocation in Heterogeneous Cloud-RANs (2017)
  6. Multimedia Data Security in Cloud Computing (2017)
  7. Safety-Level Aware Bin-Packing Heuristic for Automatic Assignment of Power Plants Control Functions (2017)
  8. Outage Reduction with Joint Scheduling and Power Allocation in 5G mmWave Cellular Networks (2017)
and 227 more
  1. Bin packing and cutting stock problems: Mathematical models and exact algorithms (2016)
  2. BPPLIB: a library for bin packing and cutting stock problems (2017)
  3. Lower bounds and reduction procedures for the bin packing problem (1990)
  4. Bison: A fast hybrid procedure for exactly solving the one-dimensional bin packing problem (1997)
  5. A new branch-and-cut algorithm for the capacitated vehicle routing problem (2004)
  6. A branch-and-cut-and-price algorithm for one-dimensional stock cutting and two-dimensional two-stage cutting (2006)
  7. Solving binary cutting stock problems by column generation and branch-and-bound (1994)
  8. Branch-and-price algorithms for the one-dimensional cutting stock problem (1998)
  9. An integer programming approach to scheduling (1981)
  10. Computational study of a column generation algorithm for bin packing and cutting stock problems (1999)
  11. On Dantzig-Wolfe decomposition in integer programming and ways to perform branching in a branch-and-price algorithm (2000)
  12. On the cutting stock problem (1976)
  13. A new linear programming approach to the cutting stock problem (1981)
  14. A comparison of two optimization procedures for 1-and 1 1/2-dimensional cutting stock problems (1988)
  15. Exact solution of bin-packing problems using column generation and branch-and-bound (1999)
  16. Propagating the bin packing constraint using linear programming (2010)
  17. Bin packing and related problems: general arc-flow formulation with graph compression (2016)
  18. A linear programming approach to the cutting-stock problem (1961)
  19. A linear programming approach to the cutting stock problem—Part II (1963)
  20. Determining the K-best solutions of knapsack problems (2014)
  21. A schedule algebra based approach to determine the K-best solutions of a knapsack problem with a single constraint (2005)
  22. Branching in branch-and-price: a generic scheme (2011)
  23. Primal Heuristics for Branch-and-Price (2015)
  24. A grouping genetic algorithm with controlled gene transmission for the bin packing problem (2015)
  25. Integer-programming software systems (2005)
  26. Handbook of means and their inequalities (2013)
  27. An exact algorithm for the two-constraint 0–1 knapsack problem (2003)
  28. Dynamic programming and strong bounds for the 0-1 knapsack problem (1999)
  29. A minimal algorithm for the bounded knapsack problem (2000)
  30. A hybrid grouping genetic algorithm for bin packing (1996)
  31. Heuristics for the integer one-dimensional cutting stock problem: A computational study (1996)
  32. The bin-packing problem: A problem generator and some numerical experiments with FFD packing and MTP (1997)
  33. Fast, exact solution of open bin packing problems without linear programming (2002)
  34. Armadillo: a template-based C++ library for linear algebra (2016)
  35. Introduction to Logic (1999)
  36. Intransitive individual indifference and transitive majorities. (1970)
  37. A scaling method for priorities in hierarchical structures. (1977)
  38. Martingales, nonlinearity, and chaos. (2000)
  39. Time-homogeneous top-K ranking using tensor decompositions. (2019)
  40. Econometric Analysis (2003)
  41. Time Series Analysis (1994)
  42. Modeling Financial Time Series with S-Plus (2007)
  43. Testing for unit roots in autoregressive-moving average models of unknown order. (1984)
  44. Tests for unit roots: A Monte Carlo investigation. (2002)
  45. Testing for unit roots: 1. (1981)
  46. Testing for unit roots: 2. (1984)
  47. Approximate asymptotic distribution functions for unit-root and cointegration tests. (1994)
  48. Numerical distribution functions for unit root and cointegration tests. (1996)
  49. Critical Values for Cointegration Tests. (2010)
  50. Generalizations of the KPSS-test for stationarity. (2004)
  51. Testing for a unit root in time series regression. (1988)
  52. Testing the null hypothesis of stationarity against the alternative of a unit root: How sure are we that economic time series have a unit root?. (1992)
  53. A simple, positive semi-definite, heteroskedasticity and autocorrelationconsistent covariance matrix (1986)
  54. Automatic lag selection in covariance matrix estimation. (1994)
  55. Heteroskedasticity and autocorrelation consistent covariance matrix estimation. (1991)
  56. Co-integration and error correction: representation, estimation, and testing. (1987)
  57. VECM model analysis of carbon emissions, GDP, and international crude oil prices. (2018)
  58. Measuring economic policy uncertainty. (2016)
  59. Assessing connectivity in the presence of instantaneous causality. (2014)
  60. Extended Granger causality: a new tool to identify the structure of physiological networks. (2015)
  61. Transfer entropy as a log-likelihood ratio. (2012)
  62. Statistical analysis of cointegration vectors. (1988)
  63. Likelihood-based Inference in Cointegrated Vector Autoregressive Models (1995)
  64. Investigating causal relations by econometric models and cross-spectral methods. (1969)
  65. Linear Models and the Relevant Distributions and Matrix Algebra (2018)
  66. Approximate entropy and sample entropy: A comprehensive tutorial. (2019)
  67. Intransitive social indifference and the Arrow dilemma. (2014)
  68. Social Choice and Individual Values (2012)
  69. A review of change point detection methods. (2018) — link
  70. A kernel multiple change-point algorithm via model selection. (2019)
  71. An online kernel change detection algorithm. (2005)
  72. Retrospective mutiple change-point estimation with kernels. (2007)
  73. Kernel change-point analysis. (2009)
  74. Injective Hilbert space embeddings of probability measures. (2008)
  75. An introduction to finite mixture distributions. (1996)
  76. A test for long-term cyclical clustering of stock market regimes. (2007)
  77. Asset pricing at the millennium. (2000)
  78. By force of habit: A consumption-based explanation of aggregate stock market behavior. (1999)
  79. Elements of Information Theory (2012)
  80. Conditional entropy-based evaluation of information dynamics in physiological systems. (2014)
  81. Measuring information transfer. (2000)
  82. Policy News and Stock Market Volatility. (2019)
  83. The efficient market hypothesis: A critical review of literature and methodology. (2014)
  84. The efficient market hypothesis: Review of specialized literature and empirical research. (2015)
  85. The efficient market hypothesis: A critical review of the literature. (2015)
  86. Some anomalous evidence regarding market efficiency. (1978)
  87. Analysis of Financial Time Series (2005)
  88. Stock market prices do not follow random walks: Evidence from a simple specification test. (1988)
  89. The Algebraic Eigenvalue Problem (1988)
  90. The condition numbers of the matrix eigenvalue problem. (1967)
  91. What is relative measurement? The ratio scale phantom. (1993)
  92. New Introduction to Multiple Time Series Analysis (2005)
  93. The relation between Granger causality and directed information theory: A review. (2013)
  94. On the power-law tail in the mass function of protostellar condensations and stars. (2004)
  95. The MLP distribution: a modified lognormal power-law model for the stellar initial mass function. (2015)
  96. Industry classification schemes: An analysis and review. (2016)
  97. Clustering by passing messages between data points. (2007)
  98. Affinity propagation: Clustering data by passing messages (2009)
  99. Nonparametric independence tests: Space partitioning and kernel approaches. (2008)
  100. Consistent nonparametric tests of independence. (2010)
  101. Approximate entropy as an irregularity measure for financial data. (2008)
  102. RTransferEntropy—Quantifying information flow between different time series using effective transfer entropy. (2019)
  103. Information decomposition in bivariate systems: theory and application to cardiorespiratory dynamics. (2015)
  104. Information decomposition in multivariate systems: definitions, implementation and application to cardiovascular networks. (2017)
  105. Entropy measures, entropy estimators, and their performance in quantifying complex dynamics: Effects of artifacts, nonstationarity, and long-range correlations. (2017)
  106. Introduction to Modern Time Series Analysis. (2012)
  107. Physiological time-series analysis: what does regularity quantify?. (1994)
  108. Approximate entropy as a measure of system complexity. (1991)
  109. Statistical methods for research workers. (1992)
  110. Multiple significance tests: the Bonferroni method. (1995)
  111. Dangers and uses of cross-correlation in analyzing time series in perception, performance, movement, and neuroscience: The importance of constructing transfer function autoregressive models. (2016)
  112. All change! The implications of non-stationarity for empirical modelling, forecasting and policy. (2016)
  113. A faster algorithm for betweenness centrality. (2001)
  114. Authoritative sources in a hyperlinked environment. (1999)
  115. The architecture of complex weighted networks. (2004)
  116. The anatomy of a large-scale hypertextual web search engine. (1998)
  117. Bridging centrality: graph mining from element level to group level. (2008)
  118. Analytic hierarchy process and expert choice: Benefits and limitations. (2009)
  119. Review of the main developments in the analytic hierarchy process. (2011)
  120. Introduction to the Analytic Hierarchy Process. (2014)
  121. Fundamentals of the analytic hierarchy process. (2001)
  122. Models, Methods, Concepts & Applications of the Analytic Hierarchy Process. (2012)
  123. The seven pillars of the analytic hierarchy process. (2001)
  124. Understanding the analytic hierarchy process. (2017)
  125. Practical Decision Making: An Introduction to the Analytic Hierarchy Process (AHP) Using Super Decisions V2. (2016)
  126. Practical Decision Making Using Super Decisions V3: An Introduction to the Analytic Hierarchy Process. (2017)
  127. Text as data. (2019)
  128. Firm-level political risk: Measurement and effects. (2019)
  129. Diagnosing the stock market reaction to Trump’s surprise election victory. (2019)
  130. News implied volatility and disaster concerns, (2017)
  131. Text selection. (2019)
  132. Evaporating liquidity. (2012)
  133. What’s vol got to do with it. (2011)
  134. Capital flow waves: Surges, stops, flight, and retrenchment. (2012)
  135. Dilemma not trilemma: the global financial cycle and monetary policy independence. (2015)
  136. What is the Expected Return on the Market?. (2017)
  137. Managerial miscalibration. (2013)
  138. The liquidity premium of near-money assets. (2016)
  139. Excess volatility: Beyond discount rates. (2018)
  140. Fads, martingales, and market efficiency. (1990)
  141. Efficient capital markets, inefficient firms: A model of myopic corporate behavior. (1989)
  142. Should buyers or sellers organize trade in a frictional market?. (2018)
  143. Rank analysis of incomplete block designs: I. T he method of paired comparisons (1952)
  144. Rank analysis of incomplete block designs: I I . A dditional tables for the method of paired comparisons (1954)
  145. Rank analysis of incomplete block designs: I I I . S ome large-sample results on estimation and power for a method of paired comparisons (1955)
  146. Individual choice behavior (1959)
  147. What is comparison? M ethodological and philosophical considerations (1985)
  148. Statistical methods for ranking data (2014)
  149. A nearly instance optimal algorithm for top- $K$ ranking under the multinomial logit model (2018)
  150. Rank centrality: R anking from pairwise comparisons (2017)
  151. Spectral Method and Regularized MLE Are Both Optimal for Top- $ K $ Ranking (2017) — link
  152. Spectral ranking (2016)
  153. Aggregating inconsistent information: Ranking and clustering (2008)
  154. An active learning algorithm for ranking from pairwise preferences with an almost optimal query complexity (2012)
  155. Noisy sorting without resampling (2008)
  156. Parallel algorithms for select and partition with noisy comparisons (2016)
  157. The method of paired comparisons (1963)
  158. On extending the Bradley-Terry model to accommodate ties in paired comparison experiments (1970)
  159. Multiple identifications in multi-armed bandits (2013)
  160. Pairwise ranking aggregation in a crowdsourced setting (2013)
  161. Adaptive multiple-arm identification (2017) — link
  162. Competitive analysis of the top- $K$ ranking problem (2017)
  163. Spectral MLE : Top- $K$ rank aggregation from pairwise comparisons (2015)
  164. Rank aggregation methods for the web (2001)
  165. Optimal aggregation algorithms for middleware (2003)
  166. Active Ranking from Pairwise Comparisons and when Parametric Assumptions Don’t Help (2016) — link
  167. Top- $ K $ ranking from pairwise comparisons: When spectral ranking is optimal (2016) — link
  168. lil’ucb: An optimal exploration algorithm for multi-armed bandits (2014)
  169. Active ranking using pairwise comparisons (2011)
  170. How to rank with few errors (2007)
  171. Learning Mallows models with pairwise preferences (2011)
  172. Active top- $K$ ranking from noisy comparisons (2016)
  173. Iterative ranking from pair-wise comparisons (2012)
  174. A statistical convergence perspective of algorithms for rank aggregation from pairwise data (2014)
  175. Stochastically transitive models for pairwise comparisons: Statistical and computational issues (2016)
  176. Online rank elicitation for plackett-luce: A dueling bandits approach (2015)
  177. Adversarial Top- $ K $ Ranking (2017)
  178. Simple, robust and optimal ranking from pairwise comparisons (2015) — link
  179. Efficient ranking from pairwise comparisons (2013)
  180. Optimal PAC multiple arm identification with applications to crowdsourcing (2014)
  181. Models for paired comparison data: A review with emphasis on dependent data (2012)
  182. A law of comparative judgment (1927)
  183. Individual choice behavior: A theoretical analysis (2005)
  184. The analysis of permutations (1975)
  185. Essai sur l’application de l’analyse `a la probabilit 'e des d 'e cisions rendues `a la pluralit 'e des voix (2014)
  186. Non-null ranking models. I (1957)
  187. Ranking tournaments (2006)
  188. Ordering by weighted number of wins gives a good ranking for weighted tournaments (2006)
  189. Ranking by rating (2018)
  190. Impossibilities of ranking in sport tournaments (2017)
  191. Comparing data streams using hamming norms (how to zero in) (2002)
  192. Approximate Hamming distance in a stream (2016) — link
  193. One sketch for all: Theory and application of conditional random sampling (2009)
  194. Estimators and tail bounds for dimension reduction in l $\alpha$ (0< $\alpha$≤ 2) using stable random projections (2008)
  195. The expression of a tensor or a polyadic as a sum of products (1927)
  196. Multiple invariants and generalized rank of a p-way matrix or tensor (1928)
  197. Parallel proportional profiles and other principles for determining the choice of factors by rotation (1944)
  198. The three basic factor-analytic research designs–their interrelations and derivatives (1952)
  199. Tensorlab 3.0-Numerical optimization strategies for large-scale constrained and coupled matrix/tensor factorization (2016)
  200. Breaking the curse of dimensionality using decompositions of incomplete tensors: Tensor-based scientific computing in big data analysis (2014)
  201. Multimodal data fusion: an overview of methods, challenges, and prospects (2015)
  202. Structured data fusion (2015)
  203. Tensor decomposition for signal processing and machine learning (2017)
  204. A flexible and efficient algorithmic framework for constrained matrix and tensor factorization (2016)
  205. Tensor networks for dimensionality reduction and large-scale optimization: Part 1. L ow-rank tensor decompositions (2016)
  206. Tensor networks for dimensionality reduction and large-scale optimization: Part 2. A pplications and future perspectives (2017)
  207. A randomized block sampling approach to canonical polyadic decomposition of large-scale tensors (2016)
  208. Decomposition of big tensors with low multilinear rank (2014) — link
  209. Canonical polyadic decomposition of incomplete tensors with linearly constrained factors (2017)
  210. Low-rank tensor networks for dimensionality reduction and large-scale optimization problems: Perspectives and challenges part 1 (2016) — link
  211. Tensor decompositions and applications (2009)
  212. Tensor decompositions for signal processing applications: From two-way to multiway component analysis (2015)
  213. Tensors: a brief introduction (2014)
  214. Tensor-based anomaly detection: An interdisciplinary survey (2016)
  215. Financial market predictability with tensor decomposition and links forecast (2017)
  216. Newey–West covariance matrix estimates for models with generated regressors (1994)
  217. Time-homogeneous top-K ranking using tensor decompositions (2020)
  218. Theory and applications of financial chaos index (2021)
  219. Economic policy uncertainty: A literature review (2019)
  220. The impact of sentiment and attention measures on stock market volatility (2020)
  221. Stock market volatility and jumps in times of uncertainty (2021)
  222. What moves stock prices? The roles of news, noise, and information (2022)
  223. Weak-form market efficiency and calendar anomalies for Eastern Europe equity markets (2011)
  224. Review on efficiency and anomalies in stock markets (2020)
  225. Market efficiency, market anomalies, causes, evidences, and some behavioral aspects of market anomalies (2011)
  226. Time varying market efficiency of the GCC stock markets (2016)
  227. The evolution of stock market efficiency in the US: a non-Bayesian time-varying model approach (2016)

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